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Finding the Third Proportional to 349,512 and 554,298

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Solution

The third proportional to 349,512 and 554,298 is: 879,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,512 : 554,298 = 554,298 : x
  2. Step 2: Convert to fraction form
    349,512/554,298 = 554,298/x
  3. Step 3: Cross multiply
    349,512x = 554,298 × 554,298
  4. Step 4: Simplify right side
    349,512x = 307,246,272,804
  5. Step 5: Solve for x
    x = 307,246,272,804/349,512
  6. Step 6: Final answer
    x = 879,072.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.